The Mathematical Principles of Scale Relativity Physics: The Concept of Interpretation - Brossura

Mazilu, Nicolae; Agop, Maricel; Merches, Ioan

Brossura

ISBN 10: 1032238739 ISBN 13: 9781032238739

Casa editrice: CRC Press, 2021

Riassunto

The Mathematical Principles of Scale Relativity Physics: The Concept of Interpretation explores and builds upon the principles of Laurent Nottale’s scale relativity. The authors address a variety of problems encountered by researchers studying the dynamics of physical systems. It explores Madelung fluid from a wave mechanics point of view, showing that confinement and asymptotic freedom are the fundamental laws of modern natural philosophy. It then probes Nottale’s scale transition description, offering a sound mathematical principle based on continuous group theory. The book provides a comprehensive overview of the matter to the reader via a generalization of relativity, a theory of colors, and classical electrodynamics.

Key Features:

• Develops the concept of scale relativity interpreted according to its initial definition enticed by the birth of wave and quantum mechanics
• Provides the fundamental equations necessary for interpretation of matter, describing the ensembles of free particles according to the concepts of confinement and asymptotic freedom
• Establishes a natural connection between the Newtonian forces and the Planck’s law from the point of view of space and time scale transition: both are expressions of invariance to scale transition

The work will be of great interest to graduate students, doctoral candidates, and academic researchers working in mathematics and physics.

Su questo libro

Informazioni sull'autore

Nicolae Mazilu is a researcher at the Institute of Nuclear Research, Romania, an associate researcher at the University of Akron, USA, and recently retired as a Senior Project Engineer at Bridgestone/Firestone, Inc., USA; Maricel Agop is an associate researcher at the Technical University Gheorghe Asachi and Al.I.Cuza University, Romania: Ioan Merches is Professor Emeritus, at Al.I.Cuza” University, Iasi, Romania.

Dalla quarta di copertina

This book explores and builds upon the principles of Laurent Nottale's scale relativity. It provides a unified framework for the treatment of a number of problems encountered by researchers studying the dynamics of physical systems. The work will be of interest to graduate students and academic researchers working in mathematics and physics.

Dettagli dell'edizione

• Editore: CRC Press
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 1032238739
• ISBN 13: 9781032238739
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 256
• Contatto del produttore: Taylor and Francis, GPSR Taylor and Francis; gpsr@taylorandfrancis.com; ; Taylor & Francis Verlag GmbH, Kaufingerstraße 24; München; 80331; Germania